JEE Main 24 June 2022 Shift 2 Solved Paper

In an examination, there are 10 true-false type questions. Out of 10 , a student can guess the answer of 4 questions correctly with probability ‌

3

4

and the remaining 6 questions correctly with probability ‌

1

4

. If the probability that the student guesses the answers of exactly 8 questions correctly out of 10 is ‌

27k

410

, then k is equal to __